Question

Tara has a balance of -$25.36 in her checking account. Tara takes a deposit to the bank in the amount of $25.36.

Which BEST describes the new balance of Tara's checking account and why?

a. $50.72 because when you add a negative to a positive the positive number is increased.

b. -$50.72 because when you add a positive to a negative the negative number is increased.

c. $0 because $25.36 and -$25.36 are additive inverses.

d. $25.36 because when you add a positive to a negative you get the value of the positive number.

Answer 1

C. $0 because $25.36 and -$25.36 are additive inverses.

Explanation:

Additive inverses means 2 numbers that are the complete opposite.

When additive inverses are added together, their sum is 0.

Example: 1 and -1.

They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.

Given:

• Before the deposit, her bank account balance is -25.36.
• She has deposited $25.36 into her bank account.

Solve:

Let's add both -25.36 and 25.36.

-25.36 + 25.36 = 0.

C. is the correct choice, and the reasoning is valid.